Details

Time bar (total: 2.3s)

sample28.0ms

Algorithm
intervals
Results
11.0ms287×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01739
11739

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.8b
(/ 2.0 (* z (- y t)))
6.8b
(* x (/ 2.0 (* z (- y t))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*r/
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down *-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 78
Calls
3 calls:
6.0ms
(* z (- y t))
9.0ms
(/ 2.0 (* z (- y t)))
9.0ms
(* x (/ 2.0 (* z (- y t))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
13.0ms
(* x (/ 2.0 (* z (- y t))))

simplify32.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05684678

prune109.0ms

Filtered
57 candidates to 87 candidates (-52.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New81687
Fresh011
Picked011
Done000
Total81889

Merged error: 0.0b

Counts
89 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
6.2b
(* (/ x z) (/ 2.0 (- y t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-*l*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 95
Calls
2 calls:
5.0ms
(/ 2.0 (- y t))
13.0ms
(* (/ x z) (/ 2.0 (- y t)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 2.0 (- y t))
14.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05119980

prune121.0ms

Filtered
71 candidates to 101 candidates (-42.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New974101
Fresh426
Picked101
Done011
Total1027109

Merged error: 0b

Counts
109 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
4.4b
(/ (* x (/ 2.0 (- y t))) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
9.0ms
(* x (/ 2.0 (- y t)))
8.0ms
(/ (* x (/ 2.0 (- y t))) z)

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
10.0ms
(* x (/ 2.0 (- y t)))
15.0ms
(/ (* x (/ 2.0 (- y t))) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05135936

prune115.0ms

Filtered
77 candidates to 110 candidates (-42.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh235
Picked101
Done011
Total1116117

Merged error: 0b

Counts
117 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- y t))
4.4b
(/ (/ (* x 2.0) (- y t)) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
10×associate-/r/
8×associate-/r*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
5×flip3-- flip--
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 91
Calls
2 calls:
6.0ms
(/ (* x 2.0) (- y t))
8.0ms
(/ (/ (* x 2.0) (- y t)) z)

series23.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (* x 2.0) (- y t))
15.0ms
(/ (/ (* x 2.0) (- y t)) z)

simplify32.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050771160

prune81.0ms

Filtered
73 candidates to 97 candidates (-32.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done011
Total976103

Merged error: 0b

Counts
103 → 6

regimes674.0ms

Accuracy

86.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03691
13691

end0.0ms

sample758.0ms

Algorithm
intervals
Results
342.0ms8702×body80valid

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